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5726164288 = 261359157743
BaseRepresentation
bin1010101010100111…
…00101010101000000
3112210001210021200211
411111103211111000
543211344224123
62344111323504
7261620410345
oct52523452500
915701707624
105726164288
1124792a7a89
121139820594
1370342c0c0
143c46ca7cc
15237a9640d
hex1554e5540

5726164288 has 112 divisors (see below), whose sum is σ = 12540447360. Its totient is φ = 2578028544.

The previous prime is 5726164277. The next prime is 5726164319. The reversal of 5726164288 is 8824616275.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7706445 + ... + 7707187.

It is an arithmetic number, because the mean of its divisors is an integer number (111968280).

Almost surely, 25726164288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5726164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270223680).

5726164288 is an abundant number, since it is smaller than the sum of its proper divisors (6814283072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5726164288 is a wasteful number, since it uses less digits than its factorization.

5726164288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 974 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The square root of 5726164288 is about 75671.4231926425. The cubic root of 5726164288 is about 1789.0450143508.

The spelling of 5726164288 in words is "five billion, seven hundred twenty-six million, one hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 157 208 236 314 416 472 628 743 767 832 944 1256 1486 1534 1888 2041 2512 2972 3068 3776 4082 5024 5944 6136 8164 9263 9659 10048 11888 12272 16328 18526 19318 23776 24544 32656 37052 38636 43837 47552 49088 65312 74104 77272 87674 116651 120419 130624 148208 154544 175348 233302 240838 296416 309088 350696 466604 481676 569881 592832 618176 701392 933208 963352 1139762 1402784 1516463 1866416 1926704 2279524 2805568 3032926 3732832 3853408 4559048 6065852 6882409 7465664 7706816 9118096 12131704 13764818 18236192 24263408 27529636 36472384 48526816 55059272 89471317 97053632 110118544 178942634 220237088 357885268 440474176 715770536 1431541072 2863082144 5726164288